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arXiv · 1508.03128

Algebraic sets with fully characteristic radicals

M. Shahryari
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Abstract

We obtain a necessary and sufficient condition for an algebraic set in a group to have a fully characteristic radical. As a result, we see that if the radical of a system of equation $S$ over a group $G$ is fully characteristic, then there exists a class $\mathfrak{X}$ of subgroups of $G$ such that elements of $S$ are identities of $\mathfrak{X}$.

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M. Shahryari. 2015-08-13. Algebraic sets with fully characteristic radicals. https://arxiv.org/abs/1508.03128

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